广义的Aitken△~2-过程对极限k(k≥2)循环连分式的加速收敛

Acceleration of limit k-periodic continued fractions by the generalized Aitken △~2-process

本文对极限k(k≥2)循环连分式的渐进分式序列引入广义的Aitken△~2一过程,在一定条件下,用它来对极限k(k≥2)循环连分式进行加速收敛,给出了数值结果,并讨论了r=0的情况。

In this paper,The generalized Aitken △~2-process is introduced for the convergent sequence of limit k-periodic continued fractions. Under some conditions. Limit k -periodivc continued fractions can be accelarated by it some example is qiven. In addition, The case r=0 is discussed.